98139372800 has 432 divisors, whose sum is σ = 285776709120. Its totient is φ = 32673914880.

The previous prime is 98139372781. The next prime is 98139372823. The reversal of 98139372800 is 827393189.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282822227 + ... + 282822573.

It is an arithmetic number, because the mean of its divisors is an integer number (661520160).

Almost surely, 2^98139372800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98139372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142888354560).

98139372800 is an abundant number, since it is smaller than the sum of its proper divisors (187637336320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

98139372800 is a wasteful number, since it uses less digits than its factorization.

98139372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The spelling of 98139372800 in words is "ninety-eight billion, one hundred thirty-nine million, three hundred seventy-two thousand, eight hundred".